Liberal Program - Core Science Component Atmospheric and Oceanic Sciences (48 credits)

Offered by: Atmospheric & Oceanic Sciences     Degree: Bachelor of Science

Program Requirements

45-48 credits

Required Courses (21 credits)

  • ATOC 214 Introduction: Physics of the Atmosphere (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    Overview

    Atmospheric & Oceanic Sciences : An introduction to physical meteorology designed for students in the physical sciences. Topics include: composition of the atmosphere; heat transfer; the upper atmosphere; atmospheric optics; formation of clouds and precipitation; instability; adiabatic charts.

    Terms: Fall 2019

    Instructors: Man K Yau (Fall)

    • Fall

    • 3 hours lecture

    • Prerequisite: CEGEP Physics, or the combination of PHYS 131 and PHYS 142, or permission of instructor.

  • ATOC 312 Rotating Fluid Dynamics (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    Overview

    Atmospheric & Oceanic Sciences : Lagrangian and Eulerian time derivatives. Vorticity, divergence and Helmholtz decomposition. Two-dimensional Navier-Stokes equation for non-divergent flows. Rotating coordinate systems and the shallow water equations. Linear solutions, potential vorticity, and geostrophy in the shallow water context. Shallow-water quasi-geostrophic approximation, including Rossby waves and barotrophic (Rayleigh) instability.

    Terms: Fall 2019

    Instructors: Daniel Kirshbaum (Fall)

  • ATOC 315 Thermodynamics and Convection (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    Overview

    Atmospheric & Oceanic Sciences : Buoyancy, stability, and vertical oscillations. Dry and moist adiabatic processes. Resulting dry and precipitating convective circulations from the small scale to the global scale. Mesoscale precipitation systems from the cell to convective complexes. Severe convection, downbursts, mesocyclones.

    Terms: Fall 2019

    Instructors: Evangelia Ioannidou (Fall)

  • MATH 222 Calculus 3 (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : Taylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.

    Terms: Fall 2019, Winter 2020

    Instructors: Jeremy Macdonald (Fall) Jérôme Fortier (Winter)

  • MATH 223 Linear Algebra (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : Review of matrix algebra, determinants and systems of linear equations. Vector spaces, linear operators and their matrix representations, orthogonality. Eigenvalues and eigenvectors, diagonalization of Hermitian matrices. Applications.

    Terms: Fall 2019, Winter 2020

    Instructors: Djivede Kelome (Fall) Jeremy Macdonald (Winter)

    • Fall and Winter

    • Prerequisite: MATH 133 or equivalent

    • Restriction: Not open to students in Mathematics programs nor to students who have taken or are taking MATH 236, MATH 247 or MATH 251. It is open to students in Faculty Programs

  • MATH 314 Advanced Calculus (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : Derivative as a matrix. Chain rule. Implicit functions. Constrained maxima and minima. Jacobians. Multiple integration. Line and surface integrals. Theorems of Green, Stokes and Gauss. Fourier series with applications.

    Terms: Fall 2019, Winter 2020

    Instructors: Charles Roth (Fall)

  • MATH 315 Ordinary Differential Equations (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : First order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.

    Terms: Fall 2019, Winter 2020

    Instructors: Rosalie Bélanger-Rioux (Winter)

    • Prerequisite: MATH 222.

    • Corequisite: MATH 133.

    • Restriction: Not open to students who have taken or are taking MATH 325.

Complementary Courses (27 credits)

24-27 credits:

Note: All students are encouraged to consult with the Undergraduate Adviser for help selecting from among the complementary courses.

3-6 credits selected from:

  • ATOC 215 Oceans, Weather and Climate (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    Overview

    Atmospheric & Oceanic Sciences : Laws of motion, geostrophic wind, gradient wind. General circulation of the atmosphere and oceans, local circulation features. Air-sea interaction, including hurricanes and sea-ice formation, extra-tropical weather systems and fronts, role of the atmosphere and oceans in climate.

    Terms: Winter 2020

    Instructors: David N Straub (Winter)

    • Winter

    • 3 hours lecture

    • Prerequisite: ATOC 214

  • ATOC 219 Introduction to Atmospheric Chemistry (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    Overview

    Atmospheric & Oceanic Sciences : An introduction to the basic topics in atmospheric chemistry. The fundamentals of the chemical composition of the atmosphere and its chemical reactions. Selected topics such as smog chamber, acid rain, and ozone hole will be examined.

    Terms: Winter 2020

    Instructors: Thomas Preston (Winter)

3 credits selected from:

  • ATOC 357 Atmospheric and Oceanic Science Laboratory (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    Overview

    Atmospheric & Oceanic Sciences : Students will gain hands-on experience in several fundamental atmospheric and oceanic science topics through practical experimentation. A diverse set of experiments will be conducted, ranging from in situ observations in Montreal, to remote sensing of clouds and radiation, to laboratory chemistry and water-tank experiments. As a background for these experiments, students will receive training on sensor principles and measurement error analysis, as well as the fundamental physical processes of interest in each experiment. They will learn to operate, and physically interpret data from, various sensors for in situ and remote observation of meteorological variables. Their training will also extend to operational weather observations, analysis, and forecasting.

    Terms: Winter 2020

    Instructors: Gregor Kos (Winter)

    • Prerequisite(s): ATOC 214 or permission of instructor.

  • PHYS 257 Experimental Methods 1 (3 credits)

    Offered by: Physics (Faculty of Science)

    Overview

    Physics : Introductory laboratory work and data analysis as related to mechanics, optics and thermodynamics. Introduction to computers as they are employed for laboratory work, for data analysis and for numerical computation. Previous experience with computers is an asset, but is not required.

    Terms: Fall 2019

    Instructors: Bradley Siwick (Fall)

    • Fall

    • 6 hours of laboratory and classroom work

    • Corequisite: PHYS 230 or PHYS 251

3 credits selected from:

  • PHYS 230 Dynamics of Simple Systems (3 credits)

    Offered by: Physics (Faculty of Science)

    Overview

    Physics : Translational motion under Newton's laws; forces, momentum, work/energy theorem. Special relativity; Lorentz transforms, relativistic mechanics, mass/energy equivalence. Topics in rotational dynamics. Noninertial frames.

    Terms: Fall 2019

    Instructors: Hong Guo (Fall)

    • Fall

    • 3 hours lectures

    • Prerequisite: CEGEP Physics or PHYS 131.

    • Corequisite: MATH 222

    • Restriction: Not open to students taking or having passed PHYS 251

  • PHYS 251 Honours Classical Mechanics 1 (3 credits)

    Offered by: Physics (Faculty of Science)

    Overview

    Physics : Newton's laws, work energy, angular momentum. Harmonic oscillator, forced oscillations. Inertial forces, rotating frames. Central forces, centre of mass, planetary orbits, Kepler's laws.

    Terms: Fall 2019

    Instructors: Charles Gale (Fall)

    • Fall

    • 3 hours lectures

    • Prerequisite: CEGEP physics or PHYS 131.

    • Corequisite: MATH 222

    • Restriction: Not open to students taking or having taken PHYS 230.

3 credits selected from:

  • PHYS 232 Heat and Waves (3 credits)

    Offered by: Physics (Faculty of Science)

    Overview

    Physics : The laws of thermodynamics and their consequences. Thermodynamics of P-V-T systems and simple heat engines. Free, driven, and damped harmonic oscillators. Coupled systems and normal modes. Fourier methods. Wave motion and dispersion. The wave equation.

    Terms: Winter 2020

    Instructors: Robert Rutledge (Winter)

    • Winter

    • 3 hours lectures

    • Prerequisites: CEGEP Physics or PHYS 142, and CEGEP chemistry or CHEM 120, and PHYS 230.

    • Restriction: Not open to students taking or having passed PHYS 253

  • PHYS 253 Thermal Physics (3 credits)

    Offered by: Physics (Faculty of Science)

    Overview

    Physics : Energy, work, heat; first law. Temperature, entropy; second law. Absolute zero; third law. Equilibrium, equations of state, gases, liquids, solids, magnets; phase transitions.

    Terms: Fall 2019

    Instructors: Simon Caron-Huot (Fall)

    • Fall

    • 3 hours lectures

    • Prerequisites: CEGEP physics or PHYS 131, and CEGEP chemistry or CHEM 120.

    • Corequisite: MATH 222

    • Restriction: Not open to students taking or having taken PHYS 232.

12-16 credits selected from (at least 6 of which must be ATOC):

  • ATOC 309 Weather Radars and Satellites (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    Overview

    Atmospheric & Oceanic Sciences : Basic notions of radiative transfer and applications of satellite and radar data to mesoscale and synoptic-scale systems are discussed. Emphasis will be put on the contribution of remote sensing to atmospheric and oceanic sciences.

    Terms: Winter 2020

    Instructors: Frederic Fabry, Gerard Szejwach (Winter)

    • Winter

    • 3 hours lecture

    • Prerequisite: ATOC 215

  • ATOC 512 Atmospheric and Oceanic Dynamics (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    Overview

    Atmospheric & Oceanic Sciences : Introduction to the fluid dynamics of large-scale flows of the atmosphere and oceans. Stratification of atmosphere and oceans. Equations of state, thermodynamics and momentum. Kinematics, circulation, and vorticity. Hydrostatic and quasi-geostrophic flows. Brief introduction to wave motions, flow over topography, Ekman boundary layers, turbulence.

    Terms: Fall 2019

    Instructors: David N Straub (Fall)

    • Fall

    • 3 hours lecture

    • Prerequisite (Undergraduate): MATH 314, MATH 315, or permission of instructor

  • ATOC 513 Waves and Stability (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    Overview

    Atmospheric & Oceanic Sciences : Linear theory of waves in rotating and stratified media. Geostrophic adjustment and model initialization. Wave propagation in slowly varying media. Mountain waves; waves in shear flows. Barotropic, baroclinic, symmetric, and Kelvin-Helmholtz instability. Wave-mean flow interaction. Equatorially trapped waves.

    Terms: Winter 2020

    Instructors: David N Straub (Winter)

    • Winter

    • 3 hours lecture

    • Prerequisite (Undergraduate): MATH 314, MATH 315, or permission of instructor

  • ATOC 515 Turbulence in Atmosphere and Oceans (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    Overview

    Atmospheric & Oceanic Sciences : Application of statistical and semi-empirical methods to the study of geophysical turbulence. Reynolds' equations, dimensional analysis, and similarity. The surface and planetary boundary layers. Oceanic mixed layer. Theories of isotropic two- and three- dimensional turbulence: energy and enstrophy inertial ranges. Beta turbulence.

    Terms: This course is not scheduled for the 2019-2020 academic year.

    Instructors: There are no professors associated with this course for the 2019-2020 academic year.

    • Winter

    • 3 hours lecture

    • Prerequisite (Undergraduate): MATH 314, MATH 315, a previous course in fluid dynamics (such as ATOC 512), or permission of instructor

  • ATOC 519 Advances in Chemistry of Atmosphere (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    Overview

    Atmospheric & Oceanic Sciences : Selected areas of atmospheric chemistry from field and laboratory to theoretical modelling are examined. The principles of atmospheric reactions (gas, liquid and heterogeneous phases in aerosols and clouds) and issues related to chemical global change will be explored.

    Terms: Winter 2020

    Instructors: Parisa A Ariya (Winter)

  • ATOC 521 Cloud Physics (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    Overview

    Atmospheric & Oceanic Sciences : Review of dry and moist atmospheric thermodynamics concepts. Atmospheric aerosols, nucleation of water and ice. Formation and growth of cloud droplets and ice crystals. Initiation of precipitation. Severe storms and hail. Weather modification. Numerical cloud models.

    Terms: Winter 2020

    Instructors: Man K Yau (Winter)

    • 3 hours

    • Prerequisites (Undergraduates): ATOC 315, MATH 314, and MATH 315, or permission of instructor.

    • Restriction: Not open to students who have taken ATOC 621.

  • ATOC 525 Atmospheric Radiation (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    Overview

    Atmospheric & Oceanic Sciences : Solar and terrestrial radiation. Interactions of molecules, aerosols, clouds, and precipitation with radiation of various wavelengths. Radiative transfer through the clear and cloudy atmosphere. Radiation budgets. Satellite and ground-based measurements. Climate implications.

    Terms: Fall 2019

    Instructors: Yi Huang (Fall)

  • ATOC 531 Dynamics of Current Climates (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    Overview

    Atmospheric & Oceanic Sciences : The general circulation of the atmosphere and oceans. Atmospheric and oceanic general circulation models. Observations and models of the El Niño and Southern Oscillation phenomena.

    Terms: Fall 2019

    Instructors: Timothy Merlis (Fall)

    • Fall

    • 3 hours lecture

    • Prerequisite (Undergraduate): MATH 315 or permission of instructor

    • Corequisite (Undergraduate): ATOC 312 or ATOC 512 or permission of instructor

  • ATOC 540 Synoptic Meteorology 1 (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    Overview

    Atmospheric & Oceanic Sciences : Analysis of current meteorological data. Description of a geostrophic, hydrostatic atmosphere. Ageostrophic circulations and hydrostatic instabilities. Kinematic and thermodynamic methods of computing vertical motions. Tropical and extratropical condensation rates. Barotropic and equivalent barotropic atmospheres.

    Terms: Fall 2019

    Instructors: Eyad Hashem Atallah (Fall)

    • Fall

    • 2 hours lecture; 2 hours laboratory

    • Prerequisite (Undergraduate): MATH 314, MATH 315, or permission of instructor

  • ATOC 541 Synoptic Meteorology 2 (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    Overview

    Atmospheric & Oceanic Sciences : Analysis of current meteorological data. Quasi-geostrophic theory, including the omega equation, as it relates to extratropical cyclone and anticyclone development. Frontogenesis and frontal circulations in the lower and upper troposphere. Cumulus convection and its relationship to tropical and extratropical circulations. Diagnostic case study work.

    Terms: Winter 2020

    Instructors: Eyad Hashem Atallah (Winter)

    • Winter

    • 2 hours lecture; 2 hours laboratory

    • Prerequisite (Undergraduate): ATOC 312 and ATOC 540 or permission of instructor.

  • ATOC 546 Current Weather Discussion (1 credit)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    Overview

    Atmospheric & Oceanic Sciences : Half-hour briefing on atmospheric general circulation and current weather around the world using satellite data, radar observations, conventional weather maps, and analyses and forecasts produced by computer techniques.

    Terms: This course is not scheduled for the 2019-2020 academic year.

    Instructors: There are no professors associated with this course for the 2019-2020 academic year.

    • Winter

    • 2 hours

    • Prerequisite (Undergraduate): ATOC 540 or permission of instructor

    • Restriction: Graduate students and final-year Honours Atmospheric Science students. Others by special permission.

  • ATOC 558 Numerical Methods and Laboratory (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    Overview

    Atmospheric & Oceanic Sciences : Numerical simulation of atmospheric and oceanic processes. Finite difference, finite element, and spectral modelling techniques. Term project including computer modelling of convection or large-scale flows in the atmosphere or ocean.

    Terms: This course is not scheduled for the 2019-2020 academic year.

    Instructors: There are no professors associated with this course for the 2019-2020 academic year.

    • Winter

    • 1 hour lecture; 4 hours laboratory

    • Prerequisite (Undergraduate): ATOC 312 or ATOC 512, or permission of instructor

    • Restriction: Graduate students and final-year Honours Atmospheric Science students. Others by special permission.

  • ATOC 568 Ocean Physics (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    Overview

    Atmospheric & Oceanic Sciences : Research methods in physical oceanography including data analysis and literature review. Course will be divided into five separate modules focusing on temperature-salinity patterns, ocean circulation, boundary layers, wave phenomena and tides.

    Terms: This course is not scheduled for the 2019-2020 academic year.

    Instructors: There are no professors associated with this course for the 2019-2020 academic year.

    • Winter

    • 3 hours lecture

    • Prerequisite (Undergraduate): ATOC 512 or permission of instructor

    • Restriction: Graduate students and final-year Honours Atmospheric Science students. Others by special permission.

  • COMP 208 Computer Programming for Physical Sciences and Engineering (3 credits)

    Offered by: Computer Science (Faculty of Science)

    Overview

    Computer Science (Sci) : Programming and problem solving in a high level computer language: variables, expressions, types, functions, conditionals, loops, objects and classes. Introduction to algorithms such as searching and sorting. Modular software design, libraries, file input and output, debugging. Emphasis on applications in Physical Sciences and Engineering, such as root finding, numerical integration, diffusion, Monte Carlo methods.

    Terms: Fall 2019, Winter 2020

    Instructors: There are no professors associated with this course for the 2019-2020 academic year.

    • 3 hours

    • Prerequisite: MATH 141 or equivalent.

    • Corequisite: MATH 133 or equivalent.

    • Restrictions: Credit can be given only for one of COMP 202, COMP 204, or COMP 208. COMP 208 cannot be taken for credit with or after COMP 250 or COMP 206.

    • COMP 202 is intended as a general introductory course, while COMP 208 is intended for students with sufficient math background and in (non-life) science or engineering fields.

  • MATH 203 Principles of Statistics 1 (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : Examples of statistical data and the use of graphical means to summarize the data. Basic distributions arising in the natural and behavioural sciences. The logical meaning of a test of significance and a confidence interval. Tests of significance and confidence intervals in the one and two sample setting (means, variances and proportions).

    Terms: Fall 2019, Winter 2020

    Instructors: Abbas Khalili Mahmoudabadi, David B Wolfson (Fall) Yi Yang (Winter)

    • No calculus prerequisites

    • Restriction: This course is intended for students in all disciplines. For extensive course restrictions covering statistics courses see Section 3.6.1 of the Arts and of the Science sections of the calendar regarding course overlaps.

    • You may not be able to receive credit for this course and other statistic courses. Be sure to check the Course Overlap section under Faculty Degree Requirements in the Arts or Science section of the Calendar. Students should consult http://www.mcgill.ca/students/transfercredit for information regarding transfer credits for this course.

  • MATH 319 Introduction to Partial Differential Equations (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : First order equations, geometric theory; second order equations, classification; Laplace, wave and heat equations, Sturm-Liouville theory, Fourier series, boundary and initial value problems.

    Terms: Winter 2020

    Instructors: Adam Oberman (Winter)

  • PHYS 333 Thermal and Statistical Physics (3 credits)

    Offered by: Physics (Faculty of Science)

    Overview

    Physics : Introductory equilibrium statistical mechanics. Quantum states, probabilities, ensemble averages. Entropy, temperature, Boltzmann factor, chemical potential. Photons and phonons. Fermi-Dirac and Bose-Einstein distributions; applications.

    Terms: Winter 2020

    Instructors: James M Cline (Winter)

    • Winter

    • 3 hours lectures

    • Prerequisite: PHYS 232

    • Restriction: Not open to students taking or having passed PHYS 362

  • PHYS 340 Majors Electricity and Magnetism (3 credits)

    Offered by: Physics (Faculty of Science)

    Overview

    Physics : The electrostatic field and scalar potential. Dielectric properties of matter. Energy in the electrostatic field. Methods for solving problems in electrostatics. The magnetic field. Induction and inductance. Energy in the magnetic field. Magnetic properties of matter. Maxwell's equations. The dipole approximation.

    Terms: Fall 2019

    Instructors: Hong Guo (Fall)

Faculty of Science—2019-2020 (last updated Mar. 18, 2019) (disclaimer)